5131483618800 has 960 divisors, whose sum is σ = 21620141936640. Its totient is φ = 1007935488000.

The previous prime is 5131483618783. The next prime is 5131483618823. The reversal of 5131483618800 is 88163841315.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5131483618800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 861996624 + ... + 862002576.

It is an arithmetic number, because the mean of its divisors is an integer number (22520981184).

Almost surely, 2^{5131483618800} is an apocalyptic number.

5131483618800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5131483618800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10810070968320).

5131483618800 is an abundant number, since it is smaller than the sum of its proper divisors (16488658317840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5131483618800 is a wasteful number, since it uses less digits than its factorization.

5131483618800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6502 (or 6491 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The spelling of 5131483618800 in words is "five trillion, one hundred thirty-one billion, four hundred eighty-three million, six hundred eighteen thousand, eight hundred".